63312 ÷ 6 = 10552 R0
Alright, let's work through the division of 63312 by 6 step by step.

Step 1:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 6 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 6

Step 2:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 3:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 30 from 33 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 4:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1055
Subtract 30 from 31 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 5:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 10552
Subtract 12 from 12 to get 0.

The final result is 10552 with a remainder of 0.